Some Generalizations of Jensen's Inequality

Authors

  • Slavko Simic Mathematical Institute of the Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia
  • Bandar Almohsen College of Science, Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

DOI:

https://doi.org/10.37256/cm.212021686

Keywords:

Jensen's inequality, Jensen-Mercer inequality, twice differentiable functions, convex functions

Abstract

In this article, we give some improvements and generalizations of the famous Jensen's and Jensen-Mercer inequalities for twice differentiable functions, where convexity property of the target function is not assumed in advance. They represent a refinement of these inequalities in the case of convex/concave functions with numerous applications in Theory of Means and Probability and Statistics.

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Published

2020-12-26

How to Cite

1.
Slavko Simic, Bandar Almohsen. Some Generalizations of Jensen’s Inequality. Contemp. Math. [Internet]. 2020 Dec. 26 [cited 2024 Oct. 8];2(1):1-14. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/686